a same side interior angles pf two parallel lines is three times the other same side interior angle. find the measures of these two angles

Answers

Answer 1

Answer:

45 and 135

Step-by-step explanation:

Same Side Interior Angles = 180

x + 3x = 180

4x = 180

x = 45

3x = 135

Answer 2

Answer:

Angle 1 = 45 degrees

Angle 2 = 135 degrees

Step-by-step explanation:

All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.

180/4 = 45

First angle = 45 degrees

Second angle = 135 degrees


Related Questions

4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?

Answers

Answer:

Option d

Step-by-step explanation:

-5(8x)

= -5×8×x

= -40x

Answered by GAUTHMATH

Find the missing value that makes each of the following pairs of fractions equivalent.
3/5 = [] 20
4/7 = 16 []
25/30 = []6
4 = (1/10
Circle the improper fractions
9/5
5/12
21/8
11/19
10/1

Answers

Answer:

3/5=12/20 multiply by 4

4/7=16/49 a square of

25/30=5/6 divide with 5

improper fractions

9/5

21/8

10/1

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Larry is going on a road trip for work. He is recording how many miles he drives, and how many gallons of gas he uses for his expense report. Which is the independent variable?

A. the amount of miles Larry drives
B. the type of roads Larry drives on
C. the type of car Larry drives
D. the amount of gasoline Larry uses

Answers

My best guess would be that the independent variable is A. the amount of miles Larry drives.
An independent variable is one that isn't changed by the other variables you are trying to measure.
The amount of miles Larry drives doesn’t depend on anything in this situation.
The question only mentions gallons of gas and miles so I would think you disregard the type of roads Larry drives on and type of car Larry drives.
The amount of gasoline Larry uses is a dependent variable because it depends on the amount of miles Larry drives.
Hope this helps

An employee is scheduled to work 40 hours per week at a base rate of $18.50 per hour. In addition to the 40 scheduled hours, the employee is asked to work 8 hours of overtime for one week due to staffing shortages. If overtime is paid at a rate of 1.5 times the base rate, how much will the employee earn for the week? (use $xxx.Xx format)

Answers

Answer:

$962.00

Step-by-step explanation:

We can start from the first sentence of the word problem and work from there.

First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.

Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as

8 * 27.75 = $222

Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get

740 + 222 = $962.00 for their total pay for the week

8/3=12/n solve for n

Answers

Answer:

[tex]n=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]\frac{8}{3} =\frac{12}{n}[/tex]

Cross multiply.

8n=12(3)

8n=36

[tex]n=\frac{9}{2}[/tex]

I hope this helps!

pls ❤ and give brainliest pls

Answer: n = 9/2

Step-by-step explanation:

8/3 = 12/n

Now doing cross multiplication

8/3 = 12/n

8(n) = 12(3)

8n = 36

n = 36/8

n = 9/2

Therefore value of n is 9/2

Must click thanks and mark brainliest

1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did she receive if she exchanged 13 dinars at a rate of 1 dinar for every $3?
2) Willie bought one bunch of asparagus for $2. how many bunches of asparagus can Daniel buy if he has $12?
round your answer to the nearest whole number!!!

Answers

Lisa took a trip to Kuwait upon leaving she decided to convert all of her dinars back into dollars how many

5. Solve the differential equation y" - 5y "+7y'-3y=0.​

Answers

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

SOMEONE HELP ME PLEASE

Answers

Answer:

Step-by-step on:ơ

Which expressions are equivalent to 5+(-3)(6x-5)5+(−3)(6x−5)5, plus, left parenthesis, minus, 3, right parenthesis, left parenthesis, 6, x, minus, 5, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 18x-2018x−2018, x, minus, 20 (Choice B) B 3x-33x−33, x, minus, 3 (Choice C) C None of the above

Answers

5+(-18x+15)5 + (-18x +15)5

5+ (-90x +75) + (-90x + 75)

-180x +155

let's see the alternatives:

a) -2000x - 2018 -> -200x - 201,8

b) -30x - 33 -> -180x -198

c) none of the above

so, c is the right one

hope it helps :)

Answer:

ITS C

Step-by-step explanation:

Vectors a = (1,0) and b= (1,1) are given. For what λ vector a + λb is perpendicular to vector a?

Answers

Answer:

-1

Step-by-step explanation:

Vector a=(1,0) if visualized as a line has points (0,0) and (1,0). This means the line is horizontal and has equation y=0.

This means we are looking for a vertical line.

Instead of lambda, I'm going to use u.

So we want a+ub=(1,0)+u(1,1). to vertical. If we visualize this as a line with points (0,0) and (1+u,u). We would need u=-1 so this would be vertical.

So vectors a=(1,0) and a+ub=(1,0)+u(1,1) are perpendicular for u=-1.

So we are saying vectors (1,0) and (0,-1) are perpendicular. If you draw these, you can get a visual confirmation.

The value of λ is -1 and is perpendicular to vector a.

What is Vector?

A vector is a number or phenomena with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

We have,

Vector a = (1, 0) and b = (1, 1).

Here the vector is visualized as line is horizontal and has equation y=0.

Now, we have a + λb is perpendicular to vector a.

So, a + λb = (1, 0) + λ(1, 1)

                 = (1 + λ, 1)

Now, to get the vertical component we must have λ= -1.

Then, a(1, 0) and a+λb= (1,0)+ λ(1, ) are perpendicular to λ=-1.

Learn more about Vector here:

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please help. only need to do part b

Answers

Unless I’m reading it wrong, 20 students jumped 4 meters so 19 must have jumped less. As for more than 4.5, only 45 students jumped 4.5 meters, and only 60 students altogether, so the final 15 must have jumped more than 4.5.

Solve for x 3x+3/x-4 = 3x+2/x+4

Answers

Answer:

here you go! with step by step so you can do it next time

Answer:

-7/8

Step-by-step explanation:

cross multiply first then expand the equations when you cross multiply it will be

(3x+3)(x+4)=(3x+2)(x-1)

3x(x+4)+3(x+4)=3x(x-1)+2(x-1)

3x²+12x+3x+12=3x²-3x+2x-2

3x²+15x+12=3x²-x-2

3x²-3x²+15x+x=-2-12

16x/16=-14/16

x=-14/16

simplified to

-7/8

I hope this helps

[(-33) + 46 + 68] - |15 - 61|

Answers

Answer:

127

Step-by-step explanation:

[(-33) + 46 + 68] - (15 - 61)

(114-33)-(-46)

81+46

127

How would you describe the difference between the graphs of f(x)=2/3 x^3 and g(x)=2/3(-x)^3

Answers

The first equation or first graph with that equation has a positive slope and the other one has a negative slope

find the missing side​

Answers

Answer:

x ≈ 13.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{40}[/tex] ( multiply both sides by 40 )

40 × cos70° = x , then

x ≈ 13.7 ( to the nearest tenth )

Which property does the following statement illustrate? (a+b)c = (b+a)c

A: associative
B: Commutative
C: Identity
D: None

Answers

I believe the answer is b I think

Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2

Answers

alright I can help!

so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.

3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)

now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a

so now we just plug in our variables.

x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3

x= (-2+-8)/6

now we just seperate the equations so that we have the two roots. and then just solve!

x= (-2-8)/6 -> x= -5/3

x= (-2+8)/6 -> x=1

hope this helps! best wishes and best of luck!!

Please help 15 points! And brainlist! Hurry I need help right now!

Answers

Answer: quadrant 1

Step-by-step explanation:

the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5

Question: "If y > 3, what is the value of n ?"

Answers

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

Please help me out with my maths I would really appreciate it ​

Answers

Answer:

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Step-by-step explanation:

Answer:

I'm not sure about the answer.

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Hope this helps you ^^

Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.

Answers

Answer: 4 8/10m

Explanation:

Total Ribbon = 24m

Total children = 5

Ribbon each student gets = 24÷5

= 4.8

Now 4.8 = 48/10

4 8/10m is the mixed fraction

So each child will get 4 8/10m ribbon

Must click thanks and mark brainliest

If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that five children share 24m of ribbon equally.

We have to find the amount of ribbon each children gets.

To find this we have to divide the length of the ribbon with the number of children.

Twenty four divided by five.

24 is the dividend and five will be the divisor

24/5

Now we have to write this in mixed fraction

[tex]4\frac{4}{5}[/tex]

Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.

To learn more on Division click:

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Someone help pleaseee

Answers

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth

   = (2 + [tex]\sqrt{2}[/tex] )(4-2[tex]\sqrt{2}[/tex] ) ← expand using FOIL

   = 8 - 4[tex]\sqrt{2}[/tex] + 4[tex]\sqrt{2}[/tex] - 4 ← collect like terms

   = 4 units²

--------------------------------------------------------

The opposite sides of a rectangle are congruent , so

perimeter = 2(4 - 2 [tex]\sqrt{2}[/tex]) + 2(2 + [tex]\sqrt{2}[/tex] ) ← distribute parenthesis

                 = 8 - 4[tex]\sqrt{2}[/tex] + 4 + 2[tex]\sqrt{2}[/tex] ← collect like terms

                 = 12 - 2[tex]\sqrt{2}[/tex] units

What is the domain of the function RX) = x2 + 3x + 5?
OA
all whole numbers
OB. all positive real numbers
Ос.
all Integers
OD. all real numbers

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

Solve for the value of n.
n =

Answers

Answer:

136+(4n-8)=180

136+4n-8=180

4n+128=180

4n=52

n=13

Step-by-step explanation:

please mark me as brainliest

The answer is n=13 hope that helps

which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12​

Answers

Answer:

b. 8/9

Step-by-step explanation:

step by step explanation

Answer:

A

Step-by-step explanation:

Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a

In circle O, and are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°.

Circle O is shown. Line segments A D and B E are diameters. Line segments O F and O C are radii.

What is the measure of Arc E A C?

Answers

Your Answer Is in this attachment.

Answer:

D-212 Degrees

Step-by-step explanation

i got it right on edge

Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?

Answers

Answer:

P+T+t+R=TA

Step-by-step explanation:

this should help

Answer:

17,600

Step-by-step explanation:

16,586 + 1,038 = 17,624 ≈ 17,600

which statement is true

Answers

3) an $8 delivery fee and $1.50 per litre of water

This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.

see question in image

Answers

Answer:

b) 1/9

Step-by-step explanation:

Rolling two dice, there are 6*6 = 36 outcomes

The outcomes with the difference of 4:

1&5, 2&6, 6&2, 5&1 - total of 4

Required probability:

P = 4/36 = 1/9

Correct choice is b

In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is

Answers

Answer:

17

Step-by-step explanation:

Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so

[tex]50 + x + x = 180[/tex]

[tex]50 + 2x = 180[/tex]

[tex]2x = 130[/tex]

[tex]x = 65[/tex]

This means angle b and C of the triangle ABC measure is 65.

External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.

This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so

[tex]32.5 + 65 + x = 180[/tex]

[tex]98.5 + x = 180[/tex]

[tex]x = 81.5[/tex]

Angle C is 81.5 as well so

[tex]81.5 + 81.5 = 163[/tex]

Find angle o

[tex]180 - 163 = 17[/tex]

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